{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# -*- coding:utf-8 -*-\n",
    "import sys\n",
    "#reload(sys)\n",
    "#sys.setdefaultencoding(\"utf-8\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 波士顿房价数据探索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 导入必要的工具包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pandas提供了大量数据分析的方法，可以使用类似SQL的方式非常方便地加载、处理、分析这些表格形式的数据。\n",
    "搭配Matplotlib和Seaborn效果更好。\n",
    "\n",
    "Pandas的主要数据结构是Series和DataFrame类。\n",
    "Series是一个包含某种固定类型数据的一维数组。\n",
    "DataFrame是一个二维数据表格，其中每列包含相同类型的数据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 读取数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296       15   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242       17   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242       17   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222       18   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222       18   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#dpath = \"./data/\"\n",
    "df = pd.read_csv(\"boston_housing.csv\")\n",
    "\n",
    "#显示前5行\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据总体信息"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 506 entries, 0 to 505\n",
      "Data columns (total 14 columns):\n",
      "CRIM       506 non-null float64\n",
      "ZN         506 non-null int64\n",
      "INDUS      506 non-null float64\n",
      "CHAS       506 non-null int64\n",
      "NOX        506 non-null float64\n",
      "RM         506 non-null float64\n",
      "AGE        506 non-null float64\n",
      "DIS        506 non-null float64\n",
      "RAD        506 non-null int64\n",
      "TAX        506 non-null int64\n",
      "PTRATIO    506 non-null int64\n",
      "B          506 non-null float64\n",
      "LSTAT      506 non-null float64\n",
      "MEDV       506 non-null float64\n",
      "dtypes: float64(9), int64(5)\n",
      "memory usage: 55.4 KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一、样本数N：506\n",
    "\n",
    "二、特征维数：13，每个特征的数据类型，非空值的样本数目\n",
    "1. CRIM：人均犯罪率 ；\n",
    "2. ZN：住宅用地的比例（对超过两万五千平方英尺的区域） ；整数\n",
    "3. INDUS：城镇中非零售营业比例；\n",
    "4. CHAS：是否靠近Charles河的边界；整数\n",
    "5. NOX：一氧化氮浓度 ；\n",
    "6. RM：住宅平均房间数；\n",
    "7. AGE：1940年之前建造的自住房屋的比例；\n",
    "8. DIS：距离波士顿五个中心的加权距离；\n",
    "9. RAD：高速公路的便利指数（索引）；整数\n",
    "10. TAX ：每一万美元财产的全额财产税率； 整数\n",
    "11. PTRATIO ：城乡师生比例；PTRATIO\n",
    "12. B ：黑人比例\n",
    "13. LSTAT ：低收入人群比例\n",
    "\n",
    "\n",
    "三、标签y\n",
    "MEDV ：自住房屋价格的中值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(506, 14)\n"
     ]
    }
   ],
   "source": [
    "# 样本数目和特征维数\n",
    "print(df.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Index(['CRIM', 'ZN', 'INDUS', 'CHAS', 'NOX', 'RM', 'AGE', 'DIS', 'RAD', 'TAX',\n",
      "       'PTRATIO', 'B', 'LSTAT', 'MEDV'],\n",
      "      dtype='object')\n"
     ]
    }
   ],
   "source": [
    "#列的名字\n",
    "print(df.columns)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 数据探索"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "查看数据各特征的分布，特征与标签之间的关系、以及特征之间相关性（是否存在冗余）。\n",
    "数据表的特征类型通常有两种：\n",
    "1. 数值型特征（int64和float64）\n",
    "2. 类别型特征（categorical features）或离散型特征。离散型特征具有固定数目的值。如果特征只有两个取值，也成为二元（binary）变量。如果类别型变量的值具有顺序，称为有序（ordinal）类别型变量。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在Boston房价预测数据集中，所有特征均为数值型特征（RAD为高速公路便利指数，亦可视为类别型特征；CHAS为0/1编码，为类别型特征）。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "对数值型特征，describe方法可以特征的基本统计学特性：未缺失值的数值、均值、标准差、范围、四分位数。\n",
    "查看非数值特征的统计数据时，需要通过include参数显式指定包含的数据类型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "      <td>506.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>3.613524</td>\n",
       "      <td>11.347826</td>\n",
       "      <td>11.136779</td>\n",
       "      <td>0.069170</td>\n",
       "      <td>0.554695</td>\n",
       "      <td>6.284634</td>\n",
       "      <td>68.574901</td>\n",
       "      <td>3.795043</td>\n",
       "      <td>9.549407</td>\n",
       "      <td>408.237154</td>\n",
       "      <td>18.083004</td>\n",
       "      <td>356.674032</td>\n",
       "      <td>12.653063</td>\n",
       "      <td>22.532806</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.601545</td>\n",
       "      <td>23.310593</td>\n",
       "      <td>6.860353</td>\n",
       "      <td>0.253994</td>\n",
       "      <td>0.115878</td>\n",
       "      <td>0.702617</td>\n",
       "      <td>28.148861</td>\n",
       "      <td>2.105710</td>\n",
       "      <td>8.707259</td>\n",
       "      <td>168.537116</td>\n",
       "      <td>2.280574</td>\n",
       "      <td>91.294864</td>\n",
       "      <td>7.141062</td>\n",
       "      <td>9.197104</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.006320</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.460000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.385000</td>\n",
       "      <td>3.561000</td>\n",
       "      <td>2.900000</td>\n",
       "      <td>1.129600</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>187.000000</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>0.320000</td>\n",
       "      <td>1.730000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.082045</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>5.190000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.449000</td>\n",
       "      <td>5.885500</td>\n",
       "      <td>45.025000</td>\n",
       "      <td>2.100175</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>279.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>375.377500</td>\n",
       "      <td>6.950000</td>\n",
       "      <td>17.025000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.256510</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.690000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.538000</td>\n",
       "      <td>6.208500</td>\n",
       "      <td>77.500000</td>\n",
       "      <td>3.207450</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>330.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>391.440000</td>\n",
       "      <td>11.360000</td>\n",
       "      <td>21.200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>3.677082</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>18.100000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.624000</td>\n",
       "      <td>6.623500</td>\n",
       "      <td>94.075000</td>\n",
       "      <td>5.188425</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>666.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>396.225000</td>\n",
       "      <td>16.955000</td>\n",
       "      <td>25.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>88.976200</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>27.740000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.871000</td>\n",
       "      <td>8.780000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>12.126500</td>\n",
       "      <td>24.000000</td>\n",
       "      <td>711.000000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>396.900000</td>\n",
       "      <td>37.970000</td>\n",
       "      <td>50.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             CRIM          ZN       INDUS        CHAS         NOX          RM  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean     3.613524   11.347826   11.136779    0.069170    0.554695    6.284634   \n",
       "std      8.601545   23.310593    6.860353    0.253994    0.115878    0.702617   \n",
       "min      0.006320    0.000000    0.460000    0.000000    0.385000    3.561000   \n",
       "25%      0.082045    0.000000    5.190000    0.000000    0.449000    5.885500   \n",
       "50%      0.256510    0.000000    9.690000    0.000000    0.538000    6.208500   \n",
       "75%      3.677082   12.000000   18.100000    0.000000    0.624000    6.623500   \n",
       "max     88.976200  100.000000   27.740000    1.000000    0.871000    8.780000   \n",
       "\n",
       "              AGE         DIS         RAD         TAX     PTRATIO           B  \\\n",
       "count  506.000000  506.000000  506.000000  506.000000  506.000000  506.000000   \n",
       "mean    68.574901    3.795043    9.549407  408.237154   18.083004  356.674032   \n",
       "std     28.148861    2.105710    8.707259  168.537116    2.280574   91.294864   \n",
       "min      2.900000    1.129600    1.000000  187.000000   12.000000    0.320000   \n",
       "25%     45.025000    2.100175    4.000000  279.000000   17.000000  375.377500   \n",
       "50%     77.500000    3.207450    5.000000  330.000000   19.000000  391.440000   \n",
       "75%     94.075000    5.188425   24.000000  666.000000   20.000000  396.225000   \n",
       "max    100.000000   12.126500   24.000000  711.000000   22.000000  396.900000   \n",
       "\n",
       "            LSTAT        MEDV  \n",
       "count  506.000000  506.000000  \n",
       "mean    12.653063   22.532806  \n",
       "std      7.141062    9.197104  \n",
       "min      1.730000    5.000000  \n",
       "25%      6.950000   17.025000  \n",
       "50%     11.360000   21.200000  \n",
       "75%     16.955000   25.000000  \n",
       "max     37.970000   50.000000  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 对数值型特征，得到每个特征的描述统计量\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此处得到各属性的样本数目、均值、标准差、最小值、1/4分位数（25%）、中位数（50%）、3/4分位数（75%）、最大值\n",
    "可初步了解各特征的分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 单变量分布分析\n",
    "\n",
    "#### <font color=\"red\">Q1 1. 对连续型特征，可以用哪个函数可视化其分布？（给出你最常用的一个即可），并根据代码运行结果给出示例。</font>\n",
    "对单个连续性数值变量，可用直方图（seaborn的distplot函数或pandas的hist函数）、箱体图（seaborn的boxplot函数）或提琴形图（seaborn的Violinplot函数）等方式查看其大致分布、是否存在噪声数据点等"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 数值型特征"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 直方图\n",
    "seaborn的distplot方法可以对数值型特征绘制直方图（distribution plot）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 目标y（房屋价格）的直方图／分布\n",
    "fig = plt.figure()\n",
    "sns.distplot(df[\"MEDV\"], bins=30, kde=True)\n",
    "plt.xlabel(\"Median value of owner-occupied homes\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出，标签y主要集中在20附近，和正态分布比较接近。但较小的值比较密集，较大的值比较散（长尾），取值为最大值50的样本数较多（猜测是对大值做了截断），在模型训练时也可以考虑将y等于50的样本当成outliers（离群点）去掉。\n",
    "纵轴为归一化后的值（概率密度）\n",
    "\n",
    "另外对价格类特征，统称人对数值的敏感程度不是线性，可考虑对其进行log变换(Numpy的log1p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<matplotlib.axes._subplots.AxesSubplot object at 0x000002F8206BA128>,\n",
       "        <matplotlib.axes._subplots.AxesSubplot object at 0x000002F821C1DD30>]],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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+BJzeoGo0un9ErARWAgwMDMTg4GB7Ai1pSYu6bpbPH+X6ra1PJTsuHGz5MffV0NAQ3f67TYW7bszKez/ww4j4cUT8ErgT+JfAtNSVAzAbeK5bAZo14kRvVt7TwAJJh0sSsBB4DNgEnJvqLAbWdyk+s4ac6M1KiojNFF+6PgBspXj/rASuBC6XtB2YDtzctSDNGnAfvVkTIuJq4Oq64qeAk7sQjlkpbtGbmWXOid7MLHNO9GZmmXOiNzPL3KSJXtIcSZskbUuTOV2Wyo+RtDFN5LQxXUyCCp+TtF3Sw5JOaveTMDOz8ZVp0Y8CyyPiHcAC4BJJJwArgHsiYh5wT9qG4krBeelnGT0wuZOZWc4mTfQRsTMiHki3fwpso5jLYxHFBE6w50ROi4A1UbiP4qrBmS2P3MzMSmlqHL2kfuBdwGagLyJ2QvHPQNKxqdos4Jmau41N8rSz7lilJniayoRJ7Z50qIoTGzkmMxtP6UQv6Ujgy8DHIuInxRXgjas2KNtrkqeyEzx9fu36pidMavdkSFWc2Mgxmdl4So26kXQQRZJfGxF3puLnx7pk0u9dqXwYmFNzd0/yZGbWRWVG3Yhi7o5tEfGZml0bKCZwgj0nctoAXJxG3ywAXh7r4jEzs84r0ydyCnARsFXSg6nsE8B1wDpJSylm9Tsv7fsaxdJq24FXgY+0NGIzM2vKpIk+Ir5F4353KKZpra8fwCX7GJeZmbWIr4w1M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbNUHSNEl3SHo8zej6vvFmcjWrCid6s+Z8FvjfEfFbwIkUk/yNN5OrWSU40ZuVJOko4PcprhQnIl6LiN2MP5OrWSU0N1uY2f7tOODHwP+UdCKwBbiM8Wdy3UPZGVs7pdlZYcczlRlmy+j269NIr87I6kRvVt6BwEnARyNis6TP0kQ3TdkZWztlyYqvtuQ4y+ePNj3DbBntnoV2Knp1RlZ33ZiVNwwMR8TmtH0HReIfbyZXs0pwojcrKSJ+BDwj6fhUtBB4jPFncjWrBHfdmDXno8BaSQcDT1HMzvomGs/kalYJTvRmTYiIB4GBBrv2msnVrCrcdWNmljm36M0y0N+iETSWJ7fozcwy50RvZpY5J3ozs8w50ZuZZc6J3swsc070ZmaZc6I3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWXOid7MLHNO9GZmmXOiNzPLnBO9mVnmnOjNmiTpAEnfk3R32p4rabOkJyXdntaTNasMJ3qz5l0GbKvZ/iRwQ0TMA14ClnYlKrNxeClBsyZImg2cCVwLXC5JwKnAh1OV1cA1wE1dCTAjU1keccd1Z7Yhkt7nRG/WnBuBK4A3p+3pwO6IGE3bw8CsRneUtAxYBtDX18fQ0FDLglo+f3TySm3Sd1h3H79WK1/TRkZGRtr+GO3gRG9WkqSzgF0RsUXS4Fhxg6rR6P4RsRJYCTAwMBCDg4ONqk3Jki4uDr58/ijXb61GKtlx4WBbjz80NEQr/26dUo2/jllvOAU4W9IZwKHAURQt/GmSDkyt+tnAc12M0Wwvk34ZK2mVpF2SHqkpO0bSxjTKYKOko1O5JH1O0nZJD0s6qZ3Bm3VSRFwVEbMjoh84H7g3Ii4ENgHnpmqLgfVdCtGsoTKjbm4BTqsrWwHck0YZ3JO2AU4H5qWfZfgLKds/XEnxxex2ij77m7scj9keJu26iYhvSuqvK14EDKbbq4EhipN9EbAmIgK4T9I0STMjYmerAjargogYojjviYingJO7GY/ZRKY6jr5vLHmn38em8lnAMzX1xh2BYGZmndHqL2NLj0AoO9RsKkO39schVo7JzMYz1UT//FiXjKSZwK5UPgzMqak37giEskPNPr92fdNDt/bHIVaOyczGM9Wumw0Uowtgz1EGG4CL0+ibBcDL7p83M+uuSZvKkm6l+OJ1hqRh4GrgOmCdpKXA08B5qfrXgDOA7cCrwEfaELOZmTWhzKibC8bZtbBB3QAu2degzMysdTx7pZlZ5jwFgpllYyozXkL+s166RW9mljknejOzzDnRm5llzonezCxzTvRmZplzojczy5wTvZlZ5pzozcwy50RvZpY5J3ozs8w50ZuVJGmOpE2Stkl6VNJlqfwYSRslPZl+H93tWM1qOdGblTcKLI+IdwALgEsknQCsAO6JiHnAPWnbrDI8qZlZSWkRnbG1kn8qaRvFmsiLKNZsAFhNsWj4lVN9nKlOzGXVN5W/bSsmXHOiN5sCSf3Au4DNQN/YSmppec1jx7lPqXWSm10judumsq5z1ZRd23hf10GeyuvUinWXnejNmiTpSODLwMci4ieSSt2v7DrJS3qsRb98/mjT6zpXTdl1pvd1HeSp/G1bsQa2++jNmiDpIIokvzYi7kzFz0uamfbPBHZ1Kz6zRpzozUpS0XS/GdgWEZ+p2bUBWJxuLwbWdzo2s4n09ucts846BbgI2CrpwVT2CeA6YJ2kpcDTwHldis+sISd6s5Ii4lvAeB3yCzsZi1kzskz03RrCZGZWRe6jNzPLnBO9mVnmnOjNzDLnRG9mljknejOzzDnRm5llLsvhlWZm7dZLs4y6RW9mljknejOzzLnrxsz2e2W7YZbPH+25aaTBLXozs+w50ZuZZc6J3swsc+6jT5oZKjXWT+cZL82sF7hFb2aWOSd6M7PMOdGbmWWuLYle0mmSnpC0XdKKdjyGWdX4vLeqavmXsZIOAL4AfAAYBr4raUNEPNbqx+pVXuowPz7vrcraMermZGB7RDwFIOk2YBGQ3QnfyUmNJnusRlfsTeWfQyufUzuuIqzwP7z95ry33qOIaO0BpXOB0yLi36bti4D3RsSldfWWAcvS5vHAE+MccgbwQkuD3HeOqZxOx/TPI+KtHXy815U575s453tNFc+9dqnacy11zrejRa8GZXv9N4mIlcDKSQ8m3R8RA60IrFUcUzlVjKmNJj3vy57zvWZ/+jv36nNtx5exw8Ccmu3ZwHNteByzKvF5b5XVjkT/XWCepLmSDgbOBza04XHMqsTnvVVWy7tuImJU0qXA14EDgFUR8eg+HLKKH3UdUzlVjKkt2nDe95L95u9Mjz7Xln8Za2Zm1eIrY83MMudEb2aWucom+ipcTi5pjqRNkrZJelTSZan8GknPSnow/ZzRhdh2SNqaHv/+VHaMpI2Snky/j+5gPMfXvB4PSvqJpI9V4bWy1pjg/dC1867dJB0g6XuS7k7bcyVtTs/19vTFe+VVso8+XU7+fWouJwcu6PTl5JJmAjMj4gFJbwa2AOcAHwJGIuLTnYynLrYdwEBEvFBT9ingxYi4Lv1zPDoiruxCbAcAzwLvBT5Cl18ra40J3g9LqMB51w6SLgcGgKMi4ixJ64A7I+I2SX8FPBQRN3U3yslVtUX/+uXkEfEaMHY5eUdFxM6IeCDd/imwDZjV6TiasAhYnW6vpngTdsNC4AcR8Y9denxrgwneD1U571pK0mzgTOBv0raAU4E7UpWeea5VTfSzgGdqtofpcoKV1A+8C9icii6V9LCkVV36qBrANyRtSZfWA/RFxE4o3pTAsV2IC4ox5LfWbHf7tbIWq3s/VOW8a7UbgSuAX6ft6cDuiBhN213PS2VVNdGXmkahUyQdCXwZ+FhE/AS4CfhN4J3ATuD6LoR1SkScBJwOXCLp97sQw15Sn+XZwJdSURVeK2uhBu+H7Eg6C9gVEVtqixtUrV7fdwNVTfSVuZxc0kEUJ/XaiLgTICKej4hfRcSvgb+m6GrqqIh4Lv3eBdyVYng+9aOO9afu6nRcFP94HoiI51N8XX+trHUavR+oxnnXaqcAZ6fvwm6j6LK5EZgmaexC056Z5qKqib4Sl5OnPrmbgW0R8Zma8pk11f4QeKTDcR2RvgxD0hHAB1MMG4DFqdpiYH0n40ouoKbbptuvlbXOeO8HqnHetVREXBURsyOinyL/3BsRFwKbgHNTtZ55rpUcdQOQhuHdyBuXk1/bhRh+F/h/wFbe6Kf7BEUyeyfFx7YdwJ+M9VF2KK7jKFrxUExj8bcRca2k6cA64DeAp4HzIuLFDsZ1OMV3K8dFxMup7It08bWy1png/bCZLp537SZpEPh4GnVzHEUL/xjge8AfR8QvuhlfGZVN9GZm1hpV7boxM7MWcaI3M8ucE72ZWeac6M3MMudEb2aWOSd6M7PMOdGbmWXu/wO1MimjWRk9iAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用DataFrame的hist()方法也可以绘制直方图（histogram）\n",
    "#distplot绘图的纵轴为样本的比例，hist方法绘图的纵轴为样本数目\n",
    "features = [\"MEDV\", \"CRIM\"]  #可以一次指定多个特征\n",
    "df[features].hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 箱体图 boxplot& 提琴形图Violinplot\n",
    "箱形图可以可视化特征的分位数等统计量，主要用于离群点的发现。其主要组成部分是箱子（box），须（whisker）和一些单独的数据点（离群值）。\n",
    "\n",
    "箱子显示了分布的四分位距；它的长度由25%（Q1，下四分位数）和75%（Q3，上司分位数）决定。箱中的水平线表示中位数（50%）。\n",
    "\n",
    "从箱子处延伸出来的线被称为须，表示数据点的总体散布，即位于区间(Q1 - 1.5xIQR, Q3 + 1.5xIQR)的数据点，其中IQR是四分位距：IQR= Q3 - Q1。\n",
    "\n",
    "离群值是须之外的数据点，它们作为单独的数据点，沿着中轴绘制。\n",
    "\n",
    "Violinplot结合了箱线图（boxplot）与核密度估计图的特点，可用于一个或多个分类变量情况下，连续变量数据的分布并进行了比较。\n",
    "Violinplot还可以用于观察多个数据分布（如观察某个变量和标签之间的关系）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, axes = plt.subplots(1, 2, sharey=True, figsize=(6, 4))\n",
    "sns.boxplot(data=df[\"MEDV\"], ax=axes[0]); \n",
    "sns.violinplot(data=df[\"MEDV\"], ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### 输入属性的直方图／分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"CRIM\"], bins=30, kde=False)\n",
    "plt.xlabel(\"crime rate\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "犯罪率特征的分布是长尾分布，和指数分布比较接近。大部分城镇的犯罪率很低，极少数样本的犯罪率高。\n",
    "可以考虑对该特征进行log(x+1)变换"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"ZN\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of residential land zoned\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"INDUS\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of non-retail business acres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 离散型特征（类别型特征）\n",
    "对离散型特征，可用频率表value_counts给出每个特征取值的样本数目。\n",
    "或者采用countplot方法绘制直方图。 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### 频率表 value_counts()\n",
    "默认情况下，频率由高到低排列。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    471\n",
       "1     35\n",
       "Name: CHAS, dtype: int64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[\"CHAS\"].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 条形图 countplot\n",
    "频率表的图形化表示是条形图\n",
    "\n",
    "seaborn中还有一个函数，起了一个令人困惑的名字（barplot()），barplot()绝大部分情况下用于表示以某个类别特征分组的数值变量的一些基本统计数据。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#离散型/类别型特征的分布可用countplot(纵轴为样本数目)\n",
    "sns.countplot(df[\"CHAS\"], order=[0, 1]);\n",
    "plt.xlabel(\"Charles River\");\n",
    "plt.ylabel(\"Number of occurrences\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "条形图countplot和直方图distplot看起来很像，都用于观察特征的分布，不同点：\n",
    "1. 直方图用于查看数值变量的分布，而条形图用于类别特征。\n",
    "2. 直方图的X轴是数值；条形图的X轴可能是任何类型：数字、字符串、布尔值。\n",
    "3. 直方图的X轴是笛卡尔坐标轴；条形的顺序没有事先定义。不过条形经常按照高度排序，也就是值的频率。如果是有序变量，条形通常按照变量的值排序。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"NOX\"], bins=30, kde=False)\n",
    "plt.xlabel(\"nitric oxides concentratio\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Bc4FrgKuBXwNP1lnWgZ4cCBwlaQXprJEHS/pmZ0tqn4i4N9+uIfW37tfZitpiFbAqIhbm8bmkgC/V4cBNEXF/pwtpk0OA30dET0T8Ffgu8IoO19Q2EXFBRLwkIg4C/gg07D8HBzoAEXFGREyMiMmkr63XRkSRn/6StpW0Xe8w8DrSV7yiRMR9wD2S9sx3TQHacq7+YeIECu1uyVYCB0jaRpJIr+fSDtfUNpJ2ybeTgGOo+dr6KJeRZyxwRfqfYDQwOyKu7mxJbfN+4NLcHbEcOLnD9bRF7mc9FHh3p2tpl4hYKGkucBOp++Fmyv7F6OWSdgb+Crw3Ih6ss5B/KWpmVgh3uZiZFcKBbmZWCAe6mVkhHOhmZoVwoJuZFcKBbh0h6axO/nhL0tmSHpB0X6dq2NRIuljS2S1+zJD0gr6PL+lVw+WC8psSH4duI46kXYGPALvlX8vaMBMR/wfs2XBGexa30IexfFY5a6CJ52k3YG3dMC/9dVDiLCiAX8QmSZoh6S5Jj0i6XdKb8v1bSlqXz2ncO2+XpMcrP+c9Ml+MYJ2k6yX9Y2XeFZJOl3QL8CdJowdaV55/lKTP5u6D30t6X/4aOzpPf66kCyStlvSH3NUwaoBtOkvSHEnfyOu6TVJ3ZfrTX4/zePUr8mskrZJ0mqQ1eX1TJR0h6XeS/ijpzD6r3ErSZXldN0l6ceWxx0u6XFJP3q4P9KlzrqRvSnoYOKmfbXlu3o4eSXdL+pikzSQdQjrp0XhJj0q6uJ9le7fl9Nwlc1G+/12S7szbcqWk8ZVlXiHpRkkP5dtXVKYtyM/79Xmd31c6k96lShekuFHS5DyvJH0uP4cPSbql+l7qU+cCSZ+W9Ks87zxJO1WmH5DXuU7SryW9ps+yn5L0C+Ax0tkp+z7+vvl1eUTSZcBWlWk/lfRPefiV+b1xRB4/RNKSyrzvULrAyIOSfiRpt/62p7/XoDK+QtJH8/PxUH7fVOs5Lb/n7pX0zr7v1REjIvzXxB9wHOmsb5sBbyadzW9cnnYh8KnKvO8lXWgB0gmi1gD7A6OAacAKYMs8fQWwhHS6zK1rrOs9pHOUTAR2BH5COj3u6Dz9e8DXgG2BXYBfAe8eYJvOAv5MOl3nKODTpPMy904P4AWV8YuBs/Pwa0g/yf44sDnpBP09wGxgO+CF+bGfV1nXX4Fj8/wfBX6fhzcDFufH2oIUNsuB1/dZdmqed+t+tuUbwLy87snA74BTKrWu2sBr27st5wJbAlsDBwMP5NdvS+CLwM/y/DsBDwJvI3VjnpDHd87TFwB3As8Hnptfr9+RTjg1Otd6UZ739XnbdwBEOjf2uAHqXEC6oMWL8ut7OfDNPG0CsDa/lpuRTg2wFuiqLLsyvy6jgc37PPYWwN3Ah/Jrcmx+zntf708CX8zDZwJ3AedWpp2Xh6fmbd8rr+djwPX9vadY//20qjLfCtJ7d3x+vpcC78nTDgPuy9uyDXAJfd6rI+Wv4wWU8kcK4aPz8CHA8sq0XwBvz8NfAf6zz7J3AK/OwyuAdwxiXddSCei87sj/PGOBv1AJPFLYXDfA454F/KQyvjfweGW8UaA/DozK49vl+fevzL8YmFpZV/XDYjPSea5fRfqwW9mntjN4JvTOIofpANsxKm/33pX73g0sqNTaKNCfALaq3HcB8JnK+HNIATeZFOS/6vMYNwAn5eEFwL9Vpn0W+GFl/I3Akjx8MCnsDwA2a/A+WACc0+f1eiJv/+nAJX3m/xEwrbLsJzfw2AeRLiChyn3XV17vKcAtefhq4J29ryfpggzH5OEfkj9IK6/zY6T9F896T/Xzfuob6G+tjH8G+GoevhD4dGXaCxihge4ulyZJerue6TZZR2oljcmTryVdWWX//PVyH565LNhuwEd6l8vL7kpqefS6ZxDrGt9n/urwbqTW1erKsl8jtdQHUj3q4zFSt0jdPuS1EfFUHn4831ZP5/o4KQjXqzUi/kY65e34XPf4Ps/RmaQPqPWW7ccYnmlh9rqb1Gqtqyci/lwZH199vIh4lNTindB32gDr6/s89Pu8RMS1wJeALwP3S5qpdPWlgVSfh7tJr/cY0nN4XJ/n8JXAuAGW7Ws88IfICVl5/F43AH8vaSzp/f0NYFdJY0inY/5Znm834LxKDX8kffMYzGvRq+97s/e9tKH/gRGl6J097ZJD+uukVsoNEfFU7jMUpHBSuubhCaR/3Ksi4pG8+D2k7phPbWAVT/8TNVoXqVU7sbJs9com95BaqmMiXcpqqB7j2dfl/DtSCDfr6VqVdspNJLUKnySd+3qPDSy7obPKPUBqPe/GM6fMnUTqnqir7+Pfmx+vt95tgZ3zYz5rWmV9TZ3FMiK+AHxBaZ/LHOBfgX8fYPbq6z2JtN0PkF77SyLiXRta1QamrQYmSFIl1CeRulaIiMckLSZdh/fWiHhC0vXAh0mXweu9Xm3v+/3SDaxrqDb0PzCiuIXenG1J/ww9AJJOJrWaq2aT+rvfkod7fR14T269S+n85G9QPkd5E+uaA5wqaYKkHUhftQGIiNXAj4HPStpeaafg8yW9urnNZglwotKO2MOAZh+n10slHZO/AXyQ9OHzS1Jf6cNKOyW3zut7kaSX1XnQ/C1hDvApSdvlD8UPA0M57n02cLKkfSRtCfwXsDAiVgA/ILVWT1Taif1mUvfHVYNdiaSX5ffG5qR9JX8GntrAIm+VtLfSKXQ/CczN2/9N4I2SXp+fv63yjsaJG3isqhtIH6wfyNt0DOtfCOWnwPvyLaRunOo4wFeBMyS9MG/fcyUdV7OGuuaQXpu98vPw8RY//ibDgd6EiLid1A96A6kF/g+kfvLqPAtJ/5DjSf2IvfcvIu0w/BJpx9md9HOUxiDW9XVSaN9COkf0D0j/iL0h8HZS98PteX1zefbX7sE4ldTfu470QfW9Jh+n1zzSh17vDsVjIuKvOZDeSPoq/3tSi/N80g7Fut5Pev6XAz8nBfKFzRYaEfNJreTLSS3C55MuhkJErAWOJB3bvpZ0bdojK63Uwdie9Jo+SOriWEu6luZALiH1Pd9HOgrlA7mme0iXbDuT1Bi4h9TSr/U/HxFPkC6scFKu5c2kqwRV/ZS0r+RnA4wTEVeQdi5/W+mIpFtJV1dqmYj4IfAF4DrS/9MNedJfWrmeTYHPh14YSYeTdhY1PDTMNm2SFpCOajm/07UMJ5L2In1wbNmirsZNhlvom7jcJXFE/lo8AfgPntkBazYiSHqTpC2ULiZ9LvD9kRbm4EAvgYBPkL4W30w6PnfE9iHaiPVuUtfSXaTuxn/pbDmd4S4XM7NCuIVuZlYIB7qZWSEc6GZmhXCgm5kVwoFuZlYIB7qZWSH+H+Y+U6S/ATU9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"RM\"], bins=30, kde=False)\n",
    "plt.xlabel(\"average number of rooms per dwelling\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"AGE\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of owner-occupied units built prior to 1940\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"DIS\"], bins=30, kde=False)\n",
    "plt.xlabel(\"weighted distances to five Boston employment centres\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'index of accessibility to radial highways')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"RAD\"])\n",
    "plt.xlabel(\"index of accessibility to radial highways\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"TAX\"], bins=20, kde=False)\n",
    "plt.xlabel(\"full-value property-tax rate per $10,000\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(df[\"PTRATIO\"]);\n",
    "plt.xlabel(\"pupil-teacher ratio by town\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"B\"], bins=30, kde=False)\n",
    "plt.xlabel(\"proportion of blacks\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "sns.distplot(df[\"LSTAT\"], bins=30, kde=False)\n",
    "plt.xlabel(\"lower status of the population\", fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 两两特征之间的相关性\n",
    "两两特征之间的关系探索与要分析特征的类型有关。\n",
    "### <font color=\"red\">Q2 对两个连续型特征，可以用哪个函数得到这两个特征之间的相关性？根据代码运行结果，给出示例。</font>\n",
    "### 1. 数值特征——数值特征，两个连续性特征\n",
    "#### 1.1 相关矩阵\n",
    "两个数值特征之间的关系可用相关矩阵来查看它们之间的相关性。这一信息很重要，因为有有些机器学习算法（如普通最小二乘线性回归）不能很好地处理高度相关的输入变量。\n",
    "\n",
    "### <font color=\"red\">Q3 如果发现特征之间有较强的相关性，在选择线性回归模型时应该采取什么措施。</font>\n",
    "\n",
    "如果特征之间高度相关，可考虑进行PCA降维（特征层面）或加正则项（模型层面）。\n",
    "\n",
    "可用DataFrame的corr()方法先计算出每对特征间的相关矩阵，然后将所得的相关矩阵传给seaborn的heatmap()方法，渲染出一个基于色彩编码的矩阵。\n",
    "#### 1.2 散点图（scatter）\n",
    "将两个数值变量的值显示为二维空间中的笛卡尔坐标。\n",
    "\n",
    "### 2. 数值特征——类别特征\n",
    "散点图中的数据点可以通过色彩或尺寸进行编码，以便在同一张图像中包括第三个类别变量的值。\n",
    "也可以用lmplot()函数的hue参数来指定感兴趣的类别特征。\n",
    "violinplot/boxplot可表示输入两个特征，用于表示在一个特征取值下（类别型特征），另一个特征（数值特征）的分布或统计量。\n",
    "\n",
    "### 3. 类别特征——类别特征\n",
    "通过设置参数hue，在图形中加入类别维度\n",
    "除了使用图形进行类别分析之外，还可以使用统计学的传统工具：列联表（contingency table），又称为交叉制表（cross tabulation），使用表格形式表示多个类别变量的频率分布。我们可以通过查看一列或一行来得知某个变量在另一变量的作用下的分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 相关矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x2f8205dc860>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#get the names of all the columns\n",
    "cols = df.columns \n",
    "\n",
    "# Calculates pearson co-efficient for all combinations，通常认为相关系数大于0.5的为强相关\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, 14)"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_corr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x648 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 得到相关系数的绝对值，通常认为相关系数的绝对值大于0.5的特征为强相关\n",
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(13, 9))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "\n",
    "# Mask unimportant features,突出重要信息\n",
    "sns.heatmap(data_corr, mask=data_corr < 0.5, cbar=False)\n",
    "\n",
    "#plt.savefig(\"house_coor.png\" )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RAD and TAX = 0.91\n",
      "NOX and DIS = 0.77\n",
      "INDUS and NOX = 0.76\n",
      "AGE and DIS = 0.75\n",
      "LSTAT and MEDV = 0.74\n",
      "NOX and AGE = 0.73\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and DIS = 0.71\n",
      "RM and MEDV = 0.70\n",
      "NOX and TAX = 0.67\n",
      "ZN and DIS = 0.66\n",
      "INDUS and AGE = 0.64\n",
      "CRIM and RAD = 0.63\n",
      "RM and LSTAT = 0.61\n",
      "NOX and RAD = 0.61\n",
      "INDUS and LSTAT = 0.60\n",
      "AGE and LSTAT = 0.60\n",
      "INDUS and RAD = 0.60\n",
      "NOX and LSTAT = 0.59\n",
      "CRIM and TAX = 0.58\n",
      "ZN and AGE = 0.57\n",
      "TAX and LSTAT = 0.54\n",
      "DIS and TAX = 0.53\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "AGE and TAX = 0.51\n",
      "PTRATIO and MEDV = 0.51\n"
     ]
    }
   ],
   "source": [
    "#Set the threshold to select only highly correlated attributes\n",
    "threshold = 0.5\n",
    "# List of pairs along with correlation above threshold\n",
    "corr_list = []\n",
    "#size = data.shape[1]\n",
    "size = data_corr.shape[0]\n",
    "\n",
    "#Search for the highly correlated pairs\n",
    "for i in range(0, size): #for 'size' features\n",
    "    for j in range(i+1,size): #avoid repetition\n",
    "        if (data_corr.iloc[i,j] >= threshold and data_corr.iloc[i,j] < 1) or (data_corr.iloc[i,j] < 0 and data_corr.iloc[i,j] <= -threshold):\n",
    "            corr_list.append([data_corr.iloc[i,j],i,j]) #store correlation and columns index\n",
    "\n",
    "#Sort to show higher ones first            \n",
    "s_corr_list = sorted(corr_list,key=lambda x: -abs(x[0]))\n",
    "\n",
    "#Print correlations and column names\n",
    "for v,i,j in s_corr_list:\n",
    "    print (\"%s and %s = %.2f\" % (cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 散点图\n",
    "matplotlib库的scatter()方法\n",
    "或\n",
    "seaborn库的jointplot方法（kind参数为scatter）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[\"RM\"], df[\"MEDV\"]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(x=\"RM\", y=\"MEDV\",\n",
    "\n",
    "              data=df, kind=\"scatter\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pWBUWXjq3hPte2cYN557EsPxsLitfz/Q71/DNZespGT2YvCxHQvGLZn8oZeWWZn/QUsif1reyv76VQ74ANl1Dn5+qxhcWfuPms1l9zRkMznVT1ejj4knFljUFmnwmx+Z7uesbp7L2J9M5dcTAJMFHK7fsqm62FHJNk58frXyPFr+93NpV9HZ2a48QDRX0+4NsrWqiYmc1T5WVEkpRU8BUxRHJLgiZSmvA5MTBOTxVVsqe2sTKLS/8a1+S62vxnEksf/PjiJ+1l/7oPkhvJgzuAhqAEBBU1cltnhfgXuBCoBm4SlU3Hs17VjX5qW1s4bzxxxAwFVeKmgJet4P9h3wJAlwyt4RhAzzc8PR7Ce2/8vljIrEAh2MD7n91G7NKRrBuRw1Zrj5/8+oxei0VOyLWyVauscjzFwLXExbr6cC9qnp6e9fsaO/WmsZW9tYfFuGimWMpGT04aUFgULbLMht2ZdlUapr9Ce0fu3oKZ9/1etJ7rVo4lRyP0965sHOkdyp2J7gYeDSSe7VeRPJF5BhV3fdZL9gaMBNs1EXPb2HRzLEJdQJcDqHJb+3uCpgmYwbntGlvvYJ1bL6XYQOybKF2Ib0pVgVeEhEFlkby/+MZDuyOO66MnPvMYrWqe7Xo+S2c/blhzHnwn7HnXv7RmZYCDISUmpYAwwuyY+dNU3l6YSnBEIQitq7TAUPzbKF2Nb1pUE1T1UmE6wd8T0TObPO81SedZLOISJmIbBCRDVVV7QeEOVPkWjkNYWlc9uuqDZ8kZcMunjOJ8te343EKe2qb+bimiT21zfj9IaobA1yxLOz+umLZeqobA9S3+Pi4psneYrML6dXyQbFOiCwCGlX1rrhzS4E1qvpk5HgrML09M6AjmzVVrdYcF5gY7D4YDh9s9ocYNdiLqYIzslXmsrU7GHdMbpKNG82MbTsKPzm/lC/d8Zpd1aVzpK/NKiI5gKGqDZHH5xPO9YrnOeA6EXmK8ASr/mjsVQCXy8HYIbkJNmeh183+Jh9XxpkBEBbcrRefwolDcjnvnrUUF3j5wbknJQgzbMemdn+9esNZsV1g7C02j57eslmHAs9EivQ6gSdU9cVokQtVXUI47ftC4CPCrqt5XfHGLpcjwebcW9dCVYPPUnDHFWbjcghv3Hw22W6DQ63JE69U1V4MEc66e03MhHDaIQJHTa+IVVV3AKdanF8S91iB73V3XwIhk5omv6XgHIZwzfKNVDX6Yi6ttu1e3Zy8KPDA3BKa/QFWlJXG/K529NXR0++NKKchrK7Yzd3fODVpY2JTwxOj6DKs120kTbxKRg/muEIPK8pKef2m6awoK6Uo14XDcFCU5+GEolx+fP4Y7ErvR09aTLC6io4mWFZUN7Syt76VbLcDj9ORsNvg9LFDAbhi2T8BeOvn5xAwTUxTMDUcpWUYyr0vf8S6HTUsmVvCiEEe6ppDVDX4qGnys7piN9edcxLHDsxicF5GBKr1Buk7wUonnA4YnOemtjGQEFx9+6wJPPTGTn71tfEs/VYJhTlu/CHF7TDwq4KCL2hS/vp2VlZUAnDfKx/ygxljYhm10QivghwXvqCJ3x/E7T78L2+vcIZNMv3eDGjymXxS05KUsn3z6k3Mmzaa2uZw3YHZS97k8vL1bK9q4von3iFkKuf+/9djQgWYVTLCMvX7X3sOcVn5erZWNeH3BwG73NBnod+LNWgqHqdh6Q0YNjDLMiVm4fQTYsUx4mmbYRB9TTR4+5rlFVRFNoBLVTjD3iAuNf1erF6Xg4Fel+XKliGSUny7qhuTJlvRDIO216lrCcReG4yMnO0VzrCxpt+LFeC2F/6d5A1YPGcSIliKz2EIk44rYIDXycPzpvDqDWfx8LwpuJzC0m8lCvj2WRNYsmZ77NgZsUldFrlfxQVeXPYqV0r6/QQrEApnt1Y1+Lnt659n2MAsspwO9tW3cv8rH3H7rAkJpYHunD2BojwPLQGTOcuSV71WL5wau47LYfCbv2yOVSNcMreEwdnhbYqchvD7b57GwaZAbIl3UI4rJmabZPq9WKMJhe/srmPu/7wFhDdymzmxmHU7wtsYPDxvCq7INoN1zX4UUmYZiMBxhTnhCCxD+MGMMVz9xeNp9odwGtAYCOLxOAkETVoDJrc8+37si3D3N04lYAe9pKTf33OiVVvib91nnjyUip3VrF44lSvPGMVVD73FWXeuYc6D/6TRFxZddJk1ngVfGsWBBn8sAuvy8vWYqqyuqGTew2/z3UcrwqXigyYhJSHroLK2hRuefs9Og2mHfj+yGoZQkONKSEuJ5ledO/6YpHKWj6wL+17F0KRl1mhh4oQExMc38uh3prCyojI8wQqZHGj0oSm2O+pLizRdTb8XK4AqsRquUcLeALj6i8fHRsDorVoEfvvyR9z45TGxCC5DJOWmxo6IHRqdQAVDJl63k/PHDUkoW7S6YjfuTkS89NfFBFuswOBst2UwCojlrXplWSnrdtQw5b9fjV2juMDLU2WlKSOwokIHcDoM8rOcXD9jTFJSYoG3/XIM8dt8ti1l1NcF2+9jA6L4fEGqm/2xONfB2eE41zPvWJPUdu1N06lrCSQVIB6W52F7dVNSkbbjB+fwbmU9qyt286uvjSfP66C+OcStz3+QNLL+5pIJ7e5BcKChlV8+86+k1/3XJZ9nSObGHtixAUeCx+NkuCfx3+Fotg4dNAzhL+8lFmNbteETvj1tNLkeJ7defErMHZXrcXKgwcetz2+OmRBNPhNQys48gR+ueDcm7N9eNhHTbN8bEDJNy0rboXaWaQOBEAcafRm/eXK/9wa0h9ftSNpy6M7ZE3AZwldPTSzG9tVTh4PC717dhj+yfaY/ZPK7V7fFBJzlMgiaSjCkmEpMqBA2MX644t0ONxczTSwrbaeKKQgEQmw90Mhl5es568414RiFA40EAqlXytJ1P68eH1lFZATwKDCM8MZv5ap6b5s204FngZ2RU39U1bZpL91OvtfN0AFZCSPloBw3QVWWv/lxUpnL62ecyPdnjEmo63r7rAn8eOV7sYWBx797OhrZacAy3bsDP2uqTZNT6am6yZ8U37BweQVPL5jKMRZpNulsE/eGGRAEblDVjZFtNStE5GVV3dym3d9VdWYv9C+GYQijCnPIy3LR4g8SNJXbXvg3N315LOt21CREXBUXeLl+xklkuQyenB+uILjl04aYGwzCQgmZSl6WE3/Q5LUbz8JhGPgCQXZUN7O6YjeGIQmzfRHBIWAYBoU5bjwu66qInhSVX/wh0/pLkWLz5JomP3/auDvJxPnumSf2+n5ePW4GqOq+aBmgyLaa/yZcDyAtidbJMgzhthf+zaySEYAmb1w8p4RXNu8LB2RLeDn11uc3x4QabTcgy8n+Qz4uK1/P2Xe9zjeXrac1YLJxVw3fnzGGLKfB5n2HYqGDly59k4+qmvjFM5vYur+BQd7kqojLrpzM4BxrIaXa6jPVKCmopYkjabDrTK96A0RkFLAWOEVVD8Wdnw6sJlzYYi9wo6p+0NH1jsYb0BGf1rewM26mv2jmWM4dfwz+4OHMggsnDOevm/Ywd+poHAbsrG5OmgiNLszmUovU7Ue/M4Ur//AWqxZO5T+efT9ptn/Tl8dy59+2cNus8N7OLf4QIYUsl8HgHE9K8e2vb2FHCg/FUIvy8Xtqw5t+tH3/X31tfEKiZReT3t4AEcklLMgfxgs1wkbgOFVtjNS8+hNwUorrlAFlACNHjuy2/rqcQrbbkWC/NvkC5Hpc7KtvZdKoQn7/2jbmTRuN0xG+fT6ybmfS6tcvvjou5cJBOETQerbvD5lce/aJ7KtvZcFjFQn2ZKpRFcJVYrxt+u11OzBVLRcXUu3rlQ45ZL1VN8BFWKiPq+of2z4fL15V/auILBaRwSn2NygHyiE8snZXnwu8HuqzghxsOlwc2GU4CKnS0Bok3+viiinHUZjr5p6XPuSG88cwb9ropBEteltOyqSNLBwYhpDjdrD86tNxGOFcryfW72LO1NHsrWvhhU17O21PRmfxi1/7iFklI8jGgT9ksvi1j1h00XjLidSgbJfllywdsnN73AyIlLJ8BDioqj9M0WYYsF9VVUSmAKsIj7TtdrY7zQCwXuY0TWV/QytBUwmElPLXt7NuRw1/uvYMDjb72VPbGhvRhhdkMTDLZXlbHjU4m13VzRw/OIdZS95MeK4w143LYZDtMjjQ4OeauMWIB+ZM4hiLZMTorL4w28XuuhZ+8NRhf+69l09kRL6Xr0feJ0pxgZeVC6ays7opaWQ9oSiHYd2360ynxu3eEOsXgb8D/4KYW/HnwEgI1w4QkeuAawh7DlqAH6vquo6u3d1iTcWn9S3sP9SaEJt68rBcDrUGcBoODAFTIWiGKPC6+bRN20E5LoYMyKLRF2TL3jquf2pT7NrFBeEK3MUFXgywtHdXlpVSlOtJcPznZjn46n1v8Kdrz6C22U9l3JemuCCLgmw3k3/zStLf8vefTOfW5zfbNiuAqv6DDjqnqvcD9/dMj44eX9Bk0XObWTj9hNitdm9dK+Vrtyd96L+cOS6p7aLnNnPv5RPJ9TgShAphe7Yoz4MhEAhZ+1g9LsOyhtfj352CYYDb5WDEoOzYl8blFAyDlHEMVjZrOoQd2MutXYDbYVDV6EvYAv78cUP4wbljkiZDWS5HUtvoZhpjhuZaCqjVHyLLaaS0d9vWnY0mJ64oK0UBl0MwCNu/LhEcjnCkWdssiOhEymqFbEVZ6Wf+//j9QaqaDsddFOW4E1LSO4u93NoFFOV6WNLG7/r9GWMYU5Qb23jjmWuncfLQPAbneJLytJbMLeGEITk4DbFc3h2U6yakmvL5VKGJQVOpbQqSFZfXpcDqtytpDZixidSKslJumTmOR9btRNV6Ze2zEt3HIWG5Ny4l/UiwR9YuwOk0GDs0j5ULphIMmTgdBkNyPTidBkUWASNFeR6Wzi0hJ8tJMKS0+INsP9DE8UU53PHi1oSZ+B0vbuW3l0/EGVnZGpTjSnBDZbsdsbqzbUdcpyHMefCfPP7d0znrzjUJfbji9JFcd85JSZFjnhR70XYmztaKqiZ/ylF/+BGOrrZYuwin0+h0SctA0OSrv/sHN5x7EpeUFONyuBiY7cYQLE0EpyHc+7/bYiWKcj1OzMjEOD/bRZbTYPGcSUnCy4rUQ7CqdGgCAyPZuTFbNqLHZVdOTnJpFea4P9P/pb1R/0ixxdoLRJMU7/7fbVx02vDYqPfiD75oLTqXwcLpJzD/zONZteET5k4dTSBkYio4DYPmQMhSeI2RyKo/baxMCi4PmiZhT3+caEQYmOViUI7Hcgfwz0J7o/6RYgdf9wLxkU1PlZVyecQdddqIfO6Y/XlEjJjo3E5hf70PUzXmq83PdqOmEtJwKrk/aLJqwyfMnjwyYbFg0qhCFjxWQXGBl+euO4MWvxmXghOiMNdNQ0uoW+Nc65pb2V3rS/JUjCjwkJ8d8w2np5+1O8kUscLhBQbTNBMWCc4fN4SffuVzOA3BYQiNvgB763wJPtnh+V6qGg+XHzp/3BCuP+ekhMWCO2dP4I4Xt1LV6OP2WRM4viibQy0BBnrd/HtfA8cVZjOqMKfbw/7qmlvxhxR/UAmZ4fR0t1NwO8QWa6aINUp1Q6vlStegbDcBU9llsdp1XGEOly5NXH06f9wQbv7K5zBE2H+oFY2U5Iz6d2+ZOZ6DTb7IdkdGjyUZ1jS0ElSTQIiYWF0OcIpBYd6RidV2XfUyA7NceCJO+6I8DyMGZeNxORjgcRIy1XLH7YBFjOpLmw/gNITqBh95Hic3rdrEZeXrufX5zXx/xhg+rW8l2+NkULY7FvLYI0h4/7HWgBnbWrQ1YHZSnonYE6xexuVycGxeVmyp1BNnO5op9jpItThgiNDoCzJkoIfVC88gYJoI4XmUZrt6JfdqYJabJn+I+ImciDAw68i9C7ZY04C2m3JEyXJbZwW4HQZ3zp6QZB64HMKYobnkZhkM9KZHpqvTaXDsAG/4y9jGB32k2DZrGpMqH+qkolw+qW3m45rmmJ1bkONi8Wsfcf2MMYwdkptp2av2BKsvkKr6SvS8Lxg6fKtXMjXNOj2jrmyOjGgOWGfP92Vsb4BNxtCnzAARqQI+bqcTbRy8AAADjklEQVTJYCApNSbN6I99rFbVCzpq1KfE2hEiskFVJ/d2P9rD7mNqbDPAJmOwxWqTMfQ3sZb3dgc6gd3HFPQrm9Ums+lvI6tNBtMnxSoiF4jIVhH5SER+2k672SKiItLjM9vO9FFELhWRzSLygYg8kW59FJGRIvKaiLwjIpsipZ66D1XtUz+AA9gOHA+4gfeAcRbt8ggXhVsPTE63PhKu7fUOUBA5HpKGfSwHrok8Hgfs6s4+9cWRdQrwkaruUFU/8BRwsUW7W4E7gNae7FyEzvRxPvB7Va0FUNUDadhHBQZEHg8kXPGx2+iLYh0O7I47rqRN/VcROQ0YoarP92TH4uiwj8AYYIyIvCEi60WkwxWeLqYzfVwEzBWRSuCvwPXd2aG+KFarCJ6Yy0NEDOAe4IYe61Ey7fYxgpOwKTAduAJ4UETyu7lf8XSmj1cAD6tqMXAh8Fjk/9st9EWxVgIj4o6LSbw95QGnAGtEZBdQCjzXw5OsjvoYbfOsqgZUdSewlRQ1aruJzvTxamAlgKq+CWQRjhvoHnrSaO+hiYET2AGM5vDEYHw77dfQ8xOsDvsIXAA8Enk8mPAtuTDN+vgCcFXk8ecIi1m6q099bmRV1SBwHfA3wvsVrFTVD0Tk1yJyUe/2Lkwn+/g3oEZENgOvATepak2a9fEGYL6IvAc8SVi43bbKZK9g2WQMfW5ktem72GK1yRhssdpkDLZYbTIGW6w2GYMt1l4mEvV1d9zxjSKyKO64TES2RH7eiux2g4g4RKRCRM6Ma/uSiHyjR/+AHsQWa+/jA74uIkkrPyIyE1gAfFFVxwILgSdEZJiqhoBrgd+LiEtErgBUVZ/uyc73JLZYe58g4VC7H1k8dzPhxYBqAA1v0PwI8L3I8T+BdYQDSv47er6vYos1Pfg9MEdEBrY5Px6oaHNuQ+R8lJ8BPwSeUNWPuq+LvY8t1jRAw3vVPgp8vxPN22wEwJlAPeHgnD6NLdb04beEo5hy4s5tBkratJsUOY+I5BAOID8HKOr2tJJexhZrmqCqBwmH210dd/oO4HYRKQQQkYnAVcDiyPP/QTjAZAvhydY9IpIehVm7AbuKYHpxN+FIJwBU9TkRGQ6sExEFGoC5qrpPRMYBlwCnRtq+KyJ/Izwp+8+e73r3Y0dd2WQMthlgkzHYYrXJGGyx2mQMtlhtMgZbrDYZgy1Wm4zBFqtNxmCL1SZj+D8ypRLDKjoZCgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ncutxITaeTwK7ZosgqZPS7ha1TmU14N+B36Y0FSz2w5hz4UJsLusl7QGGgANm9vwscR+g1CRfAdzfDONaiQux8ewFzqnxWbmP+AngPEkX18rEzJ6hVLuuMrNfNd7MaOFCbDw/A5ZIur4cIOnTwInl+2CS683ALXPkdQslR6ftcSE2GCvNIrkMuDD4+WYv8E1mzpv8IbBU0m/OktePzeznoRkbIXz2jRMJvEZ0IoEL0YkELkQnErgQnUjgQnQigQvRiQQuRCcSuBCdSPD/Axy+tkevIO8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7OIlkqsTfwj+UK7PHd0LMbtROZ9fkC0bSQcv4huZ8ZGf0ZB8nFPTdaSoZ5QrgfO0j3nzWe5kzsyHjz4WDwmhSGUumCAcDBIVMZBwfSxEKCq0ObWfZQw6CAeHutZv57m/eoKM5xh1LOzn8gBlT9hELtK/5hnL5iL4TIlhiHBgZZcvbwzkn6PYlx/CL57dxxvva+fnz2/irww7grrWb+ZvjD+Gbj75C7+DIBGFlDznIPtEHzIiQSMGsxui0RFggK8VX7ENDePUGK2A1ajsFKF+4dz1nLTyI5fb71atf4NOdc7jqgRe45KR51rCCcQ9Yyh5ykD5OeujAgU2xaUXLO/c4O/g79/gndT+b9EOr0sMi3BgH40shQn4nOh24pN/TmTfZmTbZwYcbAUo1pO6Xm0qNa14sIq+IyOsiMq2pcvM50enAJf2ezrzJzrTJDj7cCFBMD83UKbsQRSQI/AfwUWABcK6ILJjqcWY1Rif0gty+5Bge6NrCCvv9xk8fyeruN7nprCO548k/ZIKP7KyWWY1R7hh3nPH7TJVSZqXUCpUYKvBB4DpVPc1evwZAVf81X518A+zHxpL0DI7kRM2JpBIKCWMJRQQEIRgQhseShIIBx+AjHTUnkqm8+0yVaoma9xFPZ9+0A29mrW8Fjp3OgcLhYElS6UOhAAc2xQrvOAVKlZVSK1TCR3T6l0y4LIvIMhHpEpGu3t7eMphlqCSV+MtuBeZkrXcA28fvpKorgZUAItIrIn+yN7UCRT0zp8bxwnl6VFUXF7NjJXzEEPAq1iyl24BngfNUdUOR9btUdaGLJlYFfjtPZb8iqmpCRC4FfgUEgVXFitBQvVTEm1bVR4BHKvHZBm/ix56VlZU2wCf46jz5IunBUP348YpoqEJ8JcRS9FFXGyIyR0TWiMgmEdkgIlfY5TNF5HERec1+b660rZPhm1uz3Uf9KnAqVlvks8C5qrqxooZVGBGZDcxW1fUiMgPoBj4JXAi8rao32H/aZlW9uoKmToqfrogfAF5X1T+q6ijwY+DMCttUcVR1h6qut5cHgE1Y3ahnAnfZu92FJU7P4ichOvVRt1fIFk8iInOBo4FngANUdQdYYgVmVc6ywvhJiEX1UdcqItIIrAa+qKq7K23PVPGTEIvqo65FRCSMJcJ7VfVBu/gt239M+5E9+ep7AT8J8VlgvogcIiIR4LPAQxW2qeKIiADfBzap6rezNj0EXGAvXwD8rNy2TQXfRM0AInI68G/s7aOe9NnbtYCIfAj4DfAikB5o8xUsP/EnwEHAFuAzqvp2RYwsAl8J0VC9+OnWbKhijBANnsAI0eAJjBANnsAI0eAJjBBLgIgM2u9zRURF5LKsbbeJyIX28g9FZLOIPC8ir4rIj0SkffxxstYvFJHb7OXDRORJEXnOzrTxVeJrIYwQS08PcIXd6O7EVar6PuAw4PfAmkn2zebfgVtU9ShVPQL4TmnM9QZGiKWnF/g1e3s1HFGLW4A/Yz1+pRCzsbo50/Vf3BcjvYYRojvcAFxp51AWYj1weBH73QI8ISK/FJG/F5GmfbLQYxghuoCqbgZ+B5xXxO6Fng+j9jF/ABwB/BQ4CVgnIqWbI63CGCG6x78AV1P4HB+NlcwKEB/nL84k62kNqrpdVVep6plAAnhPCe2tKEaILqGqLwMbgTOctovF5Vi+36N28VPAUnt7DDgbWGOvL7bTvRCRdwAtWE/KqAqMEN3leqy8yWxuEpHnscbfvB842R76AHAF8Nci8hywDvipqj5tb/sI8JJd91dY0fefXf8GZcJk3xg8gbkiGjyBEaLBExghGjyBEaLBExghGjyBEaLBExghGjyBEaLBE/w/0s7Wk6af2TIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OYlk2v4aASY9S46qKw2mvk050qSPaC4tnsvqaGTkzkAaaXC/ckI6bgEdE5Cc4Wfv3ue33AQ+KyPs4I+clR3PxQMCgsrigQ1tpAWxvbOWsJesAx8fYFrPSPia9aFJ1eQTTHbw6p7p5Vvydl0zGdK34RxdO72LFp0uNy5QoEgyaTBhR1OU6mdxd3og21OkXgarqOpx4Pqq6FWcBh87nHOJwCXKfkzpvi1kW1RXOKJhuDlpdHuGey2uIhA6L40ipbqUFXds6n5+t8A1gS2Pbx64o7khkdNQPBnpSdpzqOxxRHGbZ/CkIQtxWbFsJmAYi0J5wIk2hgDC8qKBPxdFwsJ2vLn0xrVMeyHhsiOaA9tpRP6Tw5m2/uWYGccsGBMfN6riYbFUSlhI0hOICg5Jw3ycwH6nwradFcfG45USq3ClBX0XA8omPjUDBEenoAZy3ed6AzqOkZ91nO9aZeNxic30L1z1Uy+njK1l41gnsOnAoGfY0DBkSSdFDz+zLYzIVvpUVBFDVLq6jlZdntvzrW9qT4pw/4zi+fv9fk4nRH+xr5d2PhkZS9MdqBB1o0hW+lRUEeLe+JTk3vuWiUzl+eCH72+IEAoJl2RhGmni869hfcOZ4rvrlqx38uTv2Rbn58be6HcnKZ/wRtJ/xvAFjygsZURKmoTWWDCG+vqOZq375Kpff91eKwgGuuv/VjPF1z7FvGtJl7prJxzsYF3nwR9ABJlNc3RNewlYSCbuLE95z7Nvade6a6uOdU1PNgjPHY7rzz3TXykZ/pvWlwxdoP5HJ4s4UV7dsTYZM61vaOaYsQnt7gr1tseQ1TqosoiWeYNn8Gq5LSeQYW+HMX3/3+g6+dNqY5BSgO2mFqfR3Wl86PjZ+0IEk1eJOFcopVcWISBcRLJ03ld+/uZMLJ1ez7p09XDRlDCOLw/x9b2uXazz5Rh1NbQkWnnUCQVNQBcOA0SUF1Lc4aYCdxf/IwumMKik4oshylKjs0S2Xgj8H7Qc8i7tzSl59S3uHuPrzi2fy6MLpjCoNM2/GONa9s4dHa+sImAZ722JprzF72rGsrq3jc7c/z7x7XyFu2Vy28hUaWmMZM6Ri7mP7SAxkorKH/4jvB46USufF1TM9UquKw+zcH804V+383hNRpulDKGAQt2x2NrVlde73d1pfOnyB9gOexd3lP9oQdja1YRiACnHbZlRpuEPCiGeUZLqGleLbTJ27ejmbneeny+bX8OBL27jnzx8csUBwIBOVPXI2B3XXs38BCON8Edao6g9zXTTXE2xbaY7GiMYsp8hOwbIV0xCCblGdGw0l7rYXhw3a2u3k+5A77wsHhfa4EjCd5GjTcARi2zYt8QQ7m9u7CKW8MMCPn9jE1Z8Zzw2/eZO6pijXfPZ45s8Yh62HM/3HlBUSj1sZ56Ce2Ly565cnVycNmVgsQX1rjFjCJhQwkuL0qC6PpM3a98hU+NcH9K6qs9d3dwLdRaraIiJB4C84BXT/DPw2pWjuTVVdJiKLgEmqeq1bNPdVd2WTjPRGoLatfNDYyp4Dh7j/xW1cefq4ZH36+ROr+OY5J3H3s+91EM/5E6u4/tyTO4hkyexJDCsMEjQNIkGDtpjFvS9s46Wtjfx20Qz2HHDmjnNrqvnK1GpsdYT9p7d3c9zwEiqKghSFgxSFDQKGwUcHOgl53lRGDyugNWZRWmDSFjtcnFcZCbHvUJy45SS4BE0hYdNFRKmuIi/lMJXnF8/kuMqio/o79oKBNZLcLQ29jRaC7o+Sw6K5ntDYGmN7YxuL1zjrNqUunjCrZiyLVr3GrJqxSXF67Z0NlcVrNrJnfzt1+6KAsLPpEAvOHO8aI5o8/+d/eo/P/uw55t37CgD/9uRmqssLMAyD37y6nYaDMfZHE10NoVWv0RxN8J1H3qA5GsdW549oKzS1xxhVWsBxlUWMKS+kqjSSNtvdm+P2JGs/X8jpHNStia8FTgT+E9hCDovmekIsYSUjLt6aTB7e+0ztqdQ1RZMFeZabqe8ZLlaKcZTqMBfg/14yicJQANOwueoz4/lo/yECZteoUF1TFEPg1lmn0tJuc91DHX2ahSGTYZHuzQkzzUn7c07ZU3IqUFW1gMkiUoaz09wn0p3m/u7XrRBDATMZcfHWZ/LE4b3P1N7ZUCkOByiNBCkMOVZvwlZeuPFsisPO+x9e+AkmHjOMuK0YImypP8DxI0qZu2I9I4rD3HjBBBav2cj9X//HLtc/f2IVAdPANIRdza2MKA5T1xRNupkeXTidQ7EoloKqZs1cCgZNTqkq7mKE5XOKXr/4C1S1GSejfjo5LJrrCZVFIca6WfVra3dw26xJycff2todLJ03lbW1O/j5xad1aO9cN3TflTXYwDObdrNr/+H6+MtWrmdncztPXH86o8oKmbtiPTPd9vLiCLXb9jr17DNPSGb1r3xhK0vnTU1e35vzXrbSuebNj7/F9z4/gSljy5w/mOuqer+hNbn42L88tpG6praMK+UFgyZjyguT04J8Fifk1kgaAcRVtVlEIsBTOKuFXAmsTTGSNqrqUhH5J+AfUoykr6nqnGz36K0Vv2d/lA/3RRk1rABvwLFUMeWwFW+46zolbMVIY8ULMHfFeh5eML1DfTwctpDTRXMeXjCdM3/2XPK4hzcVCAWcUfOSNJ+9+cKJXPNgbZfrTxlbxvc+PyE5n87zspEBz6gfDTzgzkMNYLWqPikim8hh0dyRsG1lb2s7lm1jIIwuK8CyFRHhx0+kLCA2byoA16UujzNvKq3twtUPHJ7DrfrGp5N18Jmc8enavYGh87RhdW0dL21t5BdzJ3eYw6Z+tiwSTM4fg4HD89ZMK+UNxjQ7j1xa8RtVdYqqTlLVU711nlR1q6p+SlVPVNWLVbXdbT/kvj/RPb61r/vkFa3962N/Y8+BdrbubeUS95F8yYr1LDzzBKaMLaOuKcrellhSnHDYojYNs0Nb3Dqc1NGd5RY7ty9ft4Ulsyd1mDasuLyGFS9sSYq382fHuCNw7ba97G9LJM/JZMQNxjQ7jyEfi7dtpbmtnfr9UT7a74wos2rG0uSu05Qqtu88+ga3zzmNey6vYXhxKKNFncqK57ckF4dIV9deEjHStpdGDFZfM4M7L5nMuOFF3H3pFB5dOJ1bLjqVUMDg5gsndpkbe37X6x9+nctWrucfxw1nzYYPk+dkEvRg3ktpSGcz2bays7mNQ3FnNeXigiDn/vx5Hl04HaDD3M/j0YXTueE3b7J03lTufvY9ntpUnzxWXR7hl1d9is/d/nyHttXXTKe13WJYYYB4QjtYyKrK3mgMywJbHSveNGF4JEQoFMiaMRQwBcutOnXWMRUMgVjCpiBoUlEYoikax7ZtLAVTYG9rjGserPXnoIMBZxFbpa7pEAD7Wg+7j0IZEiGao3HqmqIsWvUaq77xaTbtPthhDmrZFudPrOKqM8YlU84SltLcFqctlqCqNExQnGSMhtYYVcVhKsIhGqMxTMMJi9oW7G+3qAyYWTOGjik7cnQndW5p20przOKWi06lMOS40cKDfLWRIS3QWMKJsXuO9Fv/ZzM/v/g07vvLVhadfWKXhRt+MXcyP/39O4C3ABisXjiduDsiBk3BFOHGC06hqTXGvHtf6RDyrC4tpLEl3iW5ojQS4CdPbuoQTk1dDqevMoYaW2Nc8V9/7XKtwWwkDWmBhgIm0bidXNmuoaXdEemc0wiaQrDU4JGF07Fspak1xo+e2MTrO5oBd+5mCuGgQRg4FLeJxm1MQ9IWpS1es5FfL5jeYd3OuTXVDHNXwPs/X/4kf3p7dxcL+7fXnc7y+TXc9czfmVUzlsqiECNKwlQUBNnZ1NZhGZwjZcEPxQ1nB/f4fwQqi0KEA0J1eUFyZbuGlnZuWO3E12cvf5nP3PYcP/39JgKmQYObxOuNbqOHRagsLsBWSTrgd7qhzXRCSHU13fC5k5j5iZFcuvKwl6Bm3HBu+NxJHT4Tt2wmVBXz7XNP5pYnNzF7+cvMu/cV3mts5UdPvN1hUdxYLEE2jrThrG0rDQfbB9V2N0N6BDUMJ1XtwKEYsbiNDTyycDq2rRQEHCs6YSsFQYOKSCjjPpipI1O2+avnaqprinLR1Oq0C9s+vGA6P//Te8nPgJNxf02abPmbL5zIU5vqO4Q1x2QZRb26+87rO1UWhbKuC5WHBlSSIT2CgiPSssIwVcMijBoWobq8kGMri6ga5mT+HFtRSJVbn5NaDpz6n5Y6Mi1ft4XyoiB3zDkcAvXmoAnbYpkbqszkuPe8Jl7+5o+eeDsZW+98rrcUpPf+SHs3pdbdv3jT2Ty26IykANOtEp2P2910ZkiPoH1F6sh0UlUxFUUhQqaz5KLlhkADhqBARVEwmYzx5xvP5uX3GxhWFKYsEsQQIWgIz95wFqGAwb7WGFd/ZjwVRSHOn1hFWSSUzHiyFVrb48k+dDctrvMGDd7yN1aGL0y+z099gXYiNcveUiVoGBgClcUhfv+tM/hw3yF+8uQmZtWMZVRpAWWFwWSI9N8uPIWaccO7pLPVbtvL8nUfceMFE5jjxs29Ufdnf3yXhpZ2ls+vIRSQjiXC86Yyp6aal7Y2smx+DSN6sDd850d6ukypweDEH9KO+p6SmmWf6n7yXFPfPvdk/vuNOs75xKhkIrN3/Nb/2cxdl07h0jQJIw8vmM47uw9wy5ObsiZ+3HLRqVz1y1c7HPeCCt2x4lPpvNTjlLFlybQ+r9/3XF7DhKoBW5nZd9T3FC/LvrML6YbfvOkI6aFaHvjfn+LKFF+jd/wXcydnnXdmipOnLjleGDK7HLds5dijKMfo7HJ6fUczj722k1Xf+DQNB9tpbI1x55/+znfPm5DXhpIv0BRSs+xTSc2uT7cWUl1T1Nm2RtJXXopIxmTn1CXHPX9t6vGjLfFNt9TjF/5hdDK44LFp98G8duTnbGwXkbEi8pyIvCMib4vIt932ChF5WkTec3+Xu+0iIneJyPsislFEpuaqb5lIzbJPJTURI1N2kmkIv3utLm1iyLObdqfNWvI2YvCiWGPKCzoc702Jb7qlHscNLxp0hlIuE5ZHA6NV9TURKcGpTfoK8HVgn6reKiLfB8pV9SYR+SJwPfBF4NPAnar66Wz36O856HfPm8Co0hCbP2rpcHzJ7EmMH17ErOUvM7emmoumVqNuYkhnK354SQjTMAibBorSFrOwbGXNhg+5bMbxBA2jz0p8O2/YoChfW/pSvoRCB7bsuMuNRB4H7nZ/ZqrqblfE61R1gojc477+tXv+u955ma7ZFwJNJJeBcTLpFecvl1y73hDEEExDGF7k/Cd+0NjK9sa2ZELGcZWFHFteyHsNLUmr+fyJVXzr3JM7xOWXzJ7EyNKCLudWl0e4Z34NJ3VzUa+jJc+c9fkjUBE5HmcRh1OBD1W1LOVYk6qWi8iTwK2q+he3/RngJlXd0OlaqUVzNdu3b89670xbc0dCBgLsbG7nrmf+zqKzTyQas7j/xW0dauFThXV8ZVHWrWQ6t5dHguyLxjgUtzEFIiGTskiIxtbYgG2YkKnvA3Cf/LDiRaQYWAt8R1UPZCl171ZVp6quAFaAM4Jmu3e6EeO2WZN44KVtXH/uyZQXBrnWDSk2tca5+fG3uPnCiR1q4b1EkFsuOpWSgmAyypRpz83O7VUlXfenGcikjiNtp9MX9OVInVMHmLuiyFpglar+1m3e4z7avXmqlxGcrOp0Sa34PCrShfduWrsxuQCDV/NTFglmrJH3PlcYMvtMQEdK6hjs9GVYNZdWvOAUwr2jqrenHErd8rDzVohXuNb8dGB/tvlnd8i2CWxdUzRpkTdH411q5FPxXEB9JaBMmylk2ypxMNGXT4hcbyZ7OXCOiLzh/nwRuBU4T0TeA85z3wP8AdgKvA+sBBb1tgPZNoGtLo8QDDj1Qmtrd1DupuN1roX35qDHVRb2mYCyJXUMBfryCTGkQ51HmoMWhw0KgiaqzhJ2pjg7zzl7dDrLIZoiSeNmqAgo13RzDpo/Vnyu6I6bKZsVn7CgojA0JHcJHmgGjRU/0PSH1erTlb76u/tDh09eM6gf8SLSAGT31A8sw8nR8pE5pj/6vVdVLzjSSYNaoPmOiGxQ1WkD3Y+ekk/99h/xPnmNL1BgG+NbAAACO0lEQVSfvMYXaG5ZMdAdOErypt/+HNQnr/FHUJ+8xhdojhCRD0Tkb24OQt7ueCsi/yUi9SLyVkpb2rKcgcAXaG45W1Un54vLJgO/BDr7I78PPKOqJwHPuO8HBF+gH3NU9QW67qaSuqla6mZr/Y4v0NyhwFMiUuuWqQwmRnq5uO7vqoHqyJBPFhlAzlDVXSJSBTwtIpvd0cqnB/gjaI5Q1V3u73qcXfY+NbA96hGZynL6HV+gOUBEity1ABCRIuB84K3sn8orMpXl9Du+oz4HiMh4nFETnGnUw6r60wHsUkZE5NfATJwMpj3AD4HfAauBY4EPgYtVtcu2lP3SP1+gPvmM/4j3yWt8gfrkNb5AffIaX6A+eY0vUJ+8xhfoACIilpvt9LaIvCki/ywihntsprviHyIyUkSedM/ZJCJ/GNie9x9+qHNgiarqZAA3JPowMAzHF5nKj4GnVfVO99xJ/drLAcQfQfMENyS6EPimdF2jcjTO6n/euRv7s28DiS/QPEJVt+L8n3TOHvpP4D53zf9/EZFj+r93A4Mv0Pyjy5pFqvr/gPE4q/6dArwuIiP6u2MDgS/QPMKN4VukyR5S1X2q+rCqXg68CpzZ3/0bCHyB5gnuiLgcuFs7JUiIyDkiUui+LgFOwEniGPL4VvzAEhGRN4AgkAAeBG5Pc14NcLeIJHAGlXtV9dU05w05/Gwmn7zGf8T75DW+QH3yGl+gPnmNL1CfvMYXqE9e4wvUJ6/xBeqT1/gC9clr/j8tS+UQx1SElgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKEAAACsCAYAAAATz8xoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAHw9JREFUeJztnXmUXGWd9z+/W1uvSTqdToiJEJAQRCaBJHICUWSCMowiyGGHyPLyEhZFWcXXGYc4jI7IMChoAskgBGUgYTtiZl6OvCAvCiKTMIAYCJFVAiadBUhvtd1n/rhVnbpb11Ode+tWd9/vOXW67u2n6j636lu/3/NbH1FKESNGlDCinkCMGDEJY0SOmIQxIkdMwhiRIyZhjMgRkzBG5IhJGCNyxCSMETliEsaIHCOChMcee6wC4sfIe2hhRJBw27ZtUU8hRohIhvnmIvImsAsoAgWl1HwRmQisBmYAbwKnKqV2hjmPGI2NUElYwl8rpSpF2TeBx5RS3xeRb5aOrwn6ovl8ka09WQqmImkIk9sypFIJ17iBgQLb+3OD4zqb0zQ1hf+xFAomW3uy5IsmqYTB5LYMyWT4iimbLbCtb/f9TmpJk8nUgwb+iOLqJwBHlZ6vAp4gYBLm80Ve2drDxT9fzzs7+5ne0czyxfM4cHKbjYgDAwU2be91jZvZ2RoqEQsFk1e27OKiiuveungeB05pD5WI2WyBV7e57/eASa2REjHsn54CfiUi60VkSencFKXUewClv5ODvujWnuzgBw3wzs5+Lv75erb2ZG3jtvfnPMdt788FPSXX/C5yXPcij/kFjW193ve7rS/c+62GsOm/UCn1rohMBh4VkVd0X1gi7RKAvffeu6aLFkw1+EGX8c7OfgqmGta4oJEvmt7XLZqhXjeq+62GUEmolHq39HeriDwEHAZsEZGpSqn3RGQqsNXntSuAFQDz58+v6VNKGsL0jmbbBz69o5mkIcMaFzRSCYNjDprMSfM+yoTmFO/353lg/Z9JJsJVTFHdbzWEdtci0ioi7eXnwDHAS8DDwDmlYecAvwj62i0Zg2VnzWV6RzNgfdDLzppLS8Z+u53NaZYvnmcbt3zxPDqb00FPyYau1jSXHn0A163dwGkrnuG6tRu49OgD6GoN97qTWrzvd1JLuNetBgkrvV9E9gMeKh0mgX9XSn1XRDqBNcDewNvAKUqpHUO91/z589W6deu0r715Zx8/+n+buODI/UgYQtFUrHzydb7+2ZlM62gZHNe9K8vfPfSiSyJ998TZdLVnarxjfXTvynLisqdcEumhSxaGel2ou3WsJWJDu7pS6nVgjsf57cDRYV0XIJ1M8PTr21mz/p3Bc9M7mrk6eaBtXK5Q5FcbtvKrDfYVwbVfLIY5PXKFoufaLFcI97oAmUySaRG7ZJwYERGTWtHZmmbl2fNtamfl2fPpdKi7dDIxOKaM6R3NpJNuf2KQiOq6jYrQ1HGQqFUdA5imYntvjlyhSDqZoLM1jeFYgJumYuOWXVxw17pBv9nKs+cza0q7a2yQiMpPGAG0PsRRS0JdRBG5iGotGgGiXROOBJimYlN3T90lYVRr0UbFqJL9tWJbb3aQgGAZBxfctY5tveFGLuI1oR1jmoQDeW8rdSAfbuRC13AaKxjT6jgh3hGERB0CCJmkwXUnHExLOkFfrkhmdBkkNWFMk7A5neCGk2dz9f0vDq4Jbzh5Ns1pt1rUsbZ1sb03x9k/fVbLWR3kdRsVo5aEOl/ehOY0U8Y12STSlHFNTHCE7YJ25eg6q6NyIdUbo1IHlL+8E5c9xcLrf82Jy55i45ZdmI5sEcMQZnS2cvC08UzvaObgaeOZ0dnq+oK39+Y8DZjtvcNLgdI1TIK+bqNiVJKwFqvXMISu9gzTOlroas94Spigw2y6hkkt1zVNRfeuLJt39tG9K+v6wTUyRqU6rsXq1VHbZcnlXMMN16ViGMKsKe08dMnCQK470tX2qJSEZau3El5Wr67aDsOloiOBda870tX2qAzb7ejNsvEvu1xW76y92pnYutv6rCWlKmgrVff9dMZt3tnHwut/7XrtU9f8tS11LQKM3bCdrtVby5qrLLmCQC3qU+e6QS8X6o1RqY51rd5U0vBU26mQHcdBq8+RHoEJXRKKSAJYB2xWSh0nIvsC9wITgeeALyulAl+86EiQpCGezuqway6CtrZ1DZ1GRT0k4deBlyuOrwduUkrNBHYC59dhDp7ozxX5wSMb+fZxB7F6yQK+fdxB/OCRjfTnws1mCSOBQcfQaVSESkIRmQ58Afi30rEAi4D7S0NWAV8Kcw5DIZ1M0N2T5cKfree0Fc9w4c/W092TDX0t1dGc4lZHwdGti+fR0ZwK9bqNirAl4Q+BbwBlB10n8L5SqlA6fgeYFvIcfBHVWmpnf56bH3vVJoFvfuxVdvbnQ71uoyK8MiuR44CtSqn1InJU+bTHUE8f0Z4Uv+siqrVULUmtcQLDnmEhcLyIfB5oAsZhScYJIpIsScPpwLteL96T4vdaEKTrRRdjJRKii7o4q0uS8KqSdXwf8IBS6l4RuRV4USm1bKjXh1ljEgVMU/Hm9l7e2t436Mfcp7PF5UaKsj45IGj9UqLwE14DXCEif8JaI94ewRxGBKKsT64n6hIxUUo9gdUCrlwUf1g9rhskglybvd+fY8uHA3z7Fy/Z/JMTWlK2sGItkZCRvHYclRGToKGb6KCL/lxx0EEOlnS7+v4XXf5JXes96PnVG6MydgzBp+Pf9Kjl1C7XCd/06MZh1wn7tWgreiTdzuxqY82Fh1MomiRLddG6SbcjZe04KkkYtFVpmibnHLEv1zywO7x3/UmzMc3hVeWlEoZ3izZHazjTVLy9s89mwAx0Fl0GzEhfO45KdVxLZrVORnJRMUjA8vtd88CLFIep7ZKGcNOpc2xq9qZT57hi1pVrx9NWPMO3f/ESWz4c4H1HJ9mRXsc8Kkmom1mtu5ZSylt9Dte9lSuafO8/X7FFTL73n6+Qd3RqDXrt2KgYcepYZ62nW0/sJzEfvOQIJrc3DY4LPL1fhK52O0G62tNYofWKe/Uhv1NYj/QsmhFFQt21nm49sa7ELCccOLtoDTfhIJ0QvrpoJpfc/dzg+y07ay5px68kYXivHRMe5Ioi8hMURpQ61k0GndCcZnpHM3eedxiPX/kZ7jzvMKZ3NLsyq3VrUYJOOMgWzEEClu/jkrufI1uwk19Ecf1Js21q9vqTZiMjQ8BpY0RJwlqswJ5s0SUxndCVmEF30SpqumhME57cuIU7zv3kYNvj+9e9zYzOfYd13UbFiCKh7tpM12+mW4sSdOQimTC48NMzOHn+3jZyOV00LRmD4+ZM47w7/2v35jceDeBHOkYUCXXXZroSs1yL0t6UGpI0na1p7vpfh7kSDvwiF9XWrJNaUhx3yHQ7uRbPY1KL/T6yecXFDrV98d3Pcf9Fhw/vA2xQjKiflO7arBa/mW5afDZv2vx1WY9Cet0167a+vM/OSvb7yBa8N93JFcJtXVdvjCgSltdmlen4v9qw1SXhgvabbevNcsHPHOT6mdv5rSuB/XZ0cvoJE4a34TRSXC+6GFIdi8h8pVTDJPLprs2C9pv5u3Ls5NKdn+7OSumE4Wk4pUPe+aneqLYmXCkibcA9wL1KqQ11mJMvyhLOueYKOzJg+Di/DXGvHXXml04a/PTc+WzeOTC4xpzW0UTaUe88sSXNh+0Zm+HU1Z5hYsQ7MAWNqpnVIjILOB04Dcixm5BvhT89C5WZ1bpbQ+hkLutiywf9vL6t1yWR9pvUypTxdnWpM7933+/j3fcHuGz184Pv98PTDmHahCamTrC37dDdt7lBEUwbEKXURuA7wHdEZA4WIR8Xkb8opRb6Xl2kCXgSyJSuc79S6tp6FL/rJo3WgpZ0wiaRWjy6uYJe5EIpBgkIlmq/bPXzrF6ywDbONBV/2tY76mtMtBcXImJg7U08BWgFuqu8JAssUkrNAQ4BjhWRBexB8btuwoFu4F8XuaLJ0oc3kCsZDruP3VpEKyvHVHS1Zbjty/NYvWQBt315Hl1tGZezOoxuW43Yx7CqJBSRTwNnYBWpv4QlxS5XSn0w1OuUped7Soep0kNhFb+fWTq/ClgKLNeZrK4TuugT+C8OM+slYRiDRfJleMVwdf2ELekE3zh2lku9O6VrrU0yG3UHq2qoZh3/GWsnznuB7yilttTy5qU+NOuB/YGfAK+xB8Xvul9KyifwnzLcgl/nyxNR/PjMQ9nZmx9Uxx2tKVcMVzcrJ19UnpL6vgvtTuigS0MbNQO7miT81J4YIEqpInCIiEzA2nb2417DvF7rVfyu7aIRuPGUOVx53wuDX8qNp8zB+WPX/fIMhHzBtK0xbzp1jmstM5AvcsR+na4tbp1ZOXnTx0/oyNTWtbZ1ydWoGdhDklAp9ZaInIPV1GhW6fTLwM1Kqbt0L6KUel9EngAWsAfF77pfimEY3P7b1201Ibf/9nW+e+Js2zjdL89UcPmaF2zjLl/zgktytaQSLD58H1s4btlZc2lJ2enqn+/o0a21LcW9SxZQNBUJQ0gnvXtqd7VlbPd76xOvucjVqH0Mq6njs4HLgCuwLFkB5gI3iAhDEVFEuoB8iYDNwGexjJJfAydjqfiadn7XdUJ3tqa5/HOzqpJVeysH3+RSuxD3S9FyWr0icP1Js101K04O7srm2PJhbjDEV44xZ5IG45t3/0ia0wmWHn8QO3qtsF86YbD0+INc2UBR+VmroZo6vgQ4USn1ZsW5x0XkJCwSDSUNpwKrSutCA1ijlForIhuAe0Xkn4D/psbidx0XSNCNyXXH6VbRKQWrnn7DJrlWPf0G137xE7ZxPQNFzxjz6iULqHRPKqXoyxVdLikvH3BbJsGd5x2GIZaEz3hI1nqjGgnHOQgIgFLqTREZN9QLlVIvAod6nK9L8bsOWXUlg+64VMLgmIMmu7aQdaZotTUluPToA1wSrq1Jj9QFp0sqb3oaOvc6JPDOvuzg/5xWeWdbE1GhGgn7h/m/EQPdPeZ0xnW1pj3J1eUga7agWPv8O65k1fOP/JhtnG6Muex3dK4JXf5TTbLWG9VI+HERedHjvAD7hTCfukJ3jzndce8PFLillGpWJsMtj71qFclXhNpyBZPbfvMmt/3mTdt8zj7CnjHdkjZYdtZcVy1KS9r+A2hOefsdmxzhPd2M7nqjKgnrMouIoGuY6O9Fp1ckL+Ap4ZxQCC1pw7aGAxPlEZL1knAPXnyEbYxf0X0q4qycaldvVkq9VfIV/qX8vHQ8tQ7zCxW6ya+643SL5MvWsbOAyenH7M8Vufq+P/Badw/du7K81t3D1ff9wRV+HPD5kQw4kl+b08Lys+barrv8rLk0p6M1TqpJwn/HcskA/K7iOcAyx/GIg27avq5holskbyrvAqZ9HAVM6WSCE+bsxcenjsNUiqkTmjlhzl4u8uvWWfdlTV5+9wOb3/HpTd1MbE0T5Z471UgoPs+9jkctdF0+5X1RXOrOYcS0pg2+4ChgWnbWXFoda73xmQTz9p3EmSufsRk64zN2ErZkDJYvnucyiJwFUa2ZBAd+ZDynr3jGft1MAzursYfUnKvX6NMv9hC1pHzpuHwySfEkg9MXly0ofvz4JpsB8+PHN/GPJxxsG9fdm/M0dK794ieYlt791RWKkE5gWzsWzSLOaFxfztuZvubCw5nQwJJwuojcTGktXXpO6TiyrvtBwS/la/WSBVayWgV0Eh16Boqerpezj9jX5Vw+/1P7uWLbTrUtAlcccwBJI4Eh0NmW4YpjDnBFVoqmYkdvnqvvX2/7MY13lK761bYUisPb/TQoVCPh1RXPnbUmDVN7MlzohuN0Ex1E4MhZU2xq1iscpxSDBCxf88r7XmCNw1+XThjkCor/ffezNvXprDEpmN5ZOU7/Xy0t6eqZ8jWkdayUWjXUI/DZ1BmGTxsQZ+2IbnKp8rGOndGzvGYkRLddiF+SrNNZ3dWaZrljEx8vZ3q9t66tlsDw8FD/V0odH+x0goNenqBeIoFulkpR+UQuHCz0i4Q4k2R1Y9G6zuodpTWlc4153Zf+iikVY7N1Tvmqpo4PB/6MVdz0e0aIRayrTpSPq8TZ66XZJxPamaWSSRie45zqU3djx1rI6qWO1zhSzQby3j11/v4LdnLpOtODQjUS7gV8Diu9/0zgP4B7lFJ/DG1GAUA3T7CtyfBsx9HW5F5z3fGUPevljqfe4J9O/CvbuKLyI4N9bZYtmoMbO5bf7wePbORHZxxiG2f4SGrnskzX4EgY4plg4XI1JcSzJDXldDwGhGpJrUXgEeAREclgkfEJEflHpdQtocwoAOiG2XoGTL1UKdPHmnWoxULRZ63nCJkYIp41K861qKmZ8qUrMZuShmdfxCaHH1Mp+KAv78okH98UzgaQOoVOGaydOs8AZgA3Aw+GMpuAsKf5f04DwfSxZp2Z1YkayLD8rLmDzY7K4TMnGTJJg6v+Zhabdw5Y95Wwjp0ZPElD+MmZh7KjogZmYmvKpd4Lpp5/smAqz0xyZ3JuUKhmmKwCDgb+L1ah00uhzCJg6IbZdFOldGtC/Awdp/rMFU1ucZDhlsc3sfR4Nxm8JNI4h0QylWIgb6+BufGUOW5Xk1Jcumgm23osKzedMLh00UyXf7KWasUg/InVJOGXgV7gAOBrFT2VBauq0zexVUQ+ipV5vRfWVrMrlFI/EpGJwGosqfomcKpSamdNs64C3TBbxkciOSWNbk2In/r8B4f6zBeVj4FgJ7WfRHL6//wktVNyJUXoyRZcEaIpjkiQbrZNUP7Ean5CQynVXnqMq3i0D0XAEgrAlUqpj2MVOH1FRA4Cvgk8Vip+f6x0HDh0Wr4phLUvbOaOcz/J41d+hjvO/SRrX9jsSpUqd3St9K95WcdNJfVZtobL6tOpZssSuBJeatsv/8/p/9N1uucqDKxya707nnqDnHMTH/C8XydZgvInhtYkUyn1HvBe6fkuEXkZK9R3AnBUadgqrD3vrglrHkOhszXN4sNnkC1YX4KIsPjwGS61rdvRtWgq8g5Hcr5guvx6ui6atKZE0m3YZAie+Y7O3+dAwcd6P91uvQdVQlqXTq0iMgOr3uT3wJQSQVFKvScik+sxBy+YpiJbMPnzjv5Bcn10YjOmqex1x5odXRXw4YBb3XW22dVdrmjy0HObbf7JlU++zqVH728bZwieZHWSJpUQzwxsp0vFL6LjVNvphHfHCSf5gyohDZ2EpdZyDwCXKaU+dO7VMcTrQt/5fUdfju5dWRdpxjWlmDzOXvhjmop80aRgKqRouogK+jHcTMLgxLn2VK4bTp5NxvElDxS8yfrVRXay5oveVq/TlaOrthM+5He6CYMqIQ2VhCKSwiLg3Uqpsltni4hMLUnBqcBWr9fWY+f3XFGv8KdQMHllyy5Xr+wDp7STrFjv6a7hCppO7UzSm6zOPoamUnTvsq/DunflXOTSVdv9muTX3QCyGkIrLhBL5N0OvKyU+teKfz2MVfQONRa/Bw1d0mztyQ4SsDzmop+vZ2uPvV2wrsGR93Fq5x1ObdNHsjrnl0laYcXr1m7gtBXPcN3aDXzj2FlkHGpRt6wgkzQ4/9MzBneYEhHO//QMN/lNxabuHk697XccecMTnHrb79jU3VNzp68wK1wWYrl4FonI86XH54HvA58TkU1YIcHvhziHIdGc8q4dcQb+dcNiTSnDc+PEppSedewq5fT119nvo1A0Pa1eV55ghQupPG7V02+4snxShpArKM6941kW3fj/OfeOZ8kVFCnNLW4byTr+Lf4JD0eHdd1akE6Kp5/Q2e9FNw+voyXDXuOLrg4HHS1OP5yeIZH06S7mJCs+Vq/z029tMvja0Qe4lhWtjlh5tmB6bl3hzHccUdZxo6IvW/SOXHzxE7Z098ltGc/9Uya3udP9dXaSKpjwHy9sdmXvnLPQXsqd9CFr0sPq1Ykx7xow2dHTz+olCwbbD7+29UMmtKRssXLdcOaIsY4bGXnTL3JxkO04mTQ4oKvV9uV1taZtRgnoZ+90taY9s3fcnRpMT6vXGYExDB//n2OxZQgkEklOqyh0uv4kt9WrGwMfEdZxo0M7X69g8mp3b1XrWFc9vT9Q8KxF2evI/W2dGkzNH4lp6vn/dP2EuilkQW3VMaZJ2JxOcNOpcwbjs2VDwhmO87OO11x4OB+ZsFuP6aqnXKGo1QZEO4ar6f/TbQPip96XOiQwBLPF7ZgmYWsywYTWtC0cN6E1TWtyeNax/j4mmmspUZ4dZ50GR1LTcDI0k1qTSeHSRTNdBlsypDZyY5qE2/tynHfHf7m+vDVLFvCRzO6PRjuGW0MTTx2ymiaeHWedBkc54cAV3nPcbyZpeJLLmTWULyhPg8153aAwpknoV/WWd1qBKe+Eg3TKLRl0m3iWIw35oknKJ9LQnE5w3sJ9q9a2+JcL2NtDFkzvXUPvc+waWvSJwAx394NqGNMk1LUCB3LeX/KPzzzUVSSvg3KkoVoenm72TlMq4Zlw4HSS53x2DXVm/jQlE3zr8we61spNIfW2HtMkTPukVKU92gp7fcnDbTiu68rRzd6Z1JrxVO+THK1MdAud/JJpndV7QWFMkxARutrTrv5/zsLjoBuO1xJpCLJHd7NPoVOzc01YQ7uQIDDGSajoz5lcfPc620J9nKPENuita8PYykGHrH4dHZzhOL9lSli9aEbXxrk1Il/wXqg710igv0O8DoLeFFwXuoZYOfPbmd7vilkHhDEtCf2dvOFeN2jJqgvd6kIBJramXK3mwprdmJaEGZ82wH4d/INEkJJVFy1pw7MhkrMReyop5IvYUrnyRet8GBjTJEwmfNROSO0uokZfzhxsiFTOJ7zlsVfpy9mXH9mC8gxTlgvCgsaYVsf9uWKg/r9GR9EvIeI4Z0KEXsZ5UAiNhCLyU+A4YKtS6uDSudAL32tB0P6/Roevc17cftGgrfehEKY6vhM41nGuLoXvuojKSo0KmaS1OU/l/S7ziB3X+3MRr034Antzq954bYUk3AgcVVFp94RSatYQbwFY1Xbr1oXTnbievZmjxlvbe/nJ439y7cf8lUX7s0+nff0R0Oei9YJ6rwkbpvC9jCDy4UYKkobw9OvbWbP+ncFz0zua+fpnZ7rG1vNzaVjrWESWiMg6EVnX3d0d9XRGBcoNoGwuGg91XG/UWxJqFb5DfYrfxxpyRZOOVvtO8qDIhRQT1kW9fwINU/g+FpFOGOzozXP6imf4zA1PcPqKZ9jRm3f11K43wuzAcA/WfnizROQdETmfBip8H4vQ3ZKi3giz+P0Mn381ROH7WIRuPXG90bCGSYzgkfJpP+Js71FvxCQcQ0gmDJ9Y+diyjmNEiP68d6z8h44OrPVGTMIxhJThvX9KrI5j1A2tTQa3OvIJvbpy1RuxJBxDyOZhXHOCey5YgKkUhggKk2weCG/ruqqISTiGkCuanLnyWVeKlrM9cr0Rq+MxBN32yPVGTMIxhHJPnUp49dSpN2ISjiF0lTrOOg2TLo+Os/VEvCYcQ0gmDQ6c0u7a8sHZcbbu84r06jHqjmTSsDX2bATE6jhG5Ai1xiQoiEg38FbU8yhhErAt6kkEgHrcxzallLPYzYURQcJGgoisU0q594UYYWik+4jVcYzIEZMwRuSISVg7VkQ9gYDQMPcRrwljRI5YEsaIHDEJh4CI/FREtorISxXnlorIZsf2uQ0NEfmoiPxaRF4WkT+KyNdL5yeKyKMisqn0tyOS+cXq2B8iciTQA9xV0U9nKdCjlPqXKOdWC0qNBqYqpZ4TkXZgPfAl4Fxgh1Lq+yLyTaBDKXVNvecXS8IhoJR6EtgR9Tz2FEqp95RSz5We7wJeBqYBJwCrSsNWYRGz7ohJODx8VUReLKnrSFTYcFHqlHYo8HscDaqASBpUxSSsHcuBjwGHAO8BN0Y7HX2ISBvwAHCZUurDqOdTRkzCGqGU2qKUKiqlTGAlcFjUc9KBiKSwCHi3UurB0uktpfVied3o26AqTMQkrBHlL62EE4GX/MY2CkREgNuBl5VS/1rxr4ZoUBVbx0Og1NTpKKyMky3AtaXjQwCF1Xf7wvK6qlEhIp8CfgP8ASh3P/oW1rpwDbA38DZwilKq7oZYTMIYkSNWxzEiR0zCGJEjJmGMyBGTMEbkiEkYI3LEJKwRIlIsZc+8JCL3ici0ioyavzgybNKO8b8UkQmO97tcRAZEZHzp+G8qXt8jIhtLz+8SkaNEZG3Fa79UCh++IiJ/EJFIYr97DKVU/KjhgZVBU35+N3BFxfFS4Kohxq8C/s7x/2exfHjnelzrCWB+xfFRWDtkAcwB/gTsWzret3Q8O+rPqNZHLAn3DL8B9q9h/O+wslcAEJGPAW3A3wN+jeb9cBXwPaXUGwClv/8MXF3j+0SOmITDhIgkgb/FikLojE9g7VzwcMXpM4B7sMg8q8Zt1j6BlRdYiXWl8yMKMQlrR7OIPI/1hb+NFZPVGb8dmAg8WvG/04F7lZUM8SBwSg3zsLZjqn6u4RH3oqkd/UqpWjqN9yulDikZHmuBrwA3i8hsYCbwqJVfQBp4HfiJ5vv+EZgPvFhxbi6woYa5NQRiSVgnKKU+AL4GXFVKqzoDWKqUmlF6fASYJiL7aL7lvwD/p5SkWk5W/RYjKL+xjJiEdYRS6r+BF7DU8OnAQ44hD5XO67zX88A1wC9F5BXgl8A3SudHFOIsmhiRI5aEMSJHTMIYkSMmYYzIEZMwRuSISRgjcsQkjBE5YhLGiBwxCWNEjv8BV7qdIkaoyu4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 180x180 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of only the highly correlated pairs\n",
    "# 使用SVG格式可能导致pairplot变得非常慢\n",
    "%config InlineBackend.figure_format = \"png\"\n",
    "for v,i,j in s_corr_list:\n",
    "    sns.pairplot(df, x_vars=cols[i],y_vars=cols[j] )\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 参数hue表示类别"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 402.375x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot('RM', 'MEDV', data=df, hue='CHAS', fit_reg=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " _, axes = plt.subplots(1, 2, sharey=True, figsize=(10, 4)) \n",
    "sns.boxplot(x=\"CHAS\", y=\"MEDV\", data=df,ax=axes[0]) \n",
    "sns.violinplot(x=\"CHAS\", y=\"MEDV\", data=df, ax=axes[1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "可以看出，不同CHAS取值，目标MEDV的分布不同，初步断定CHAS和目标MEDV有关系。"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
